Question
Asked Nov 12, 2019
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The altitude (in feet) attained by a model rocket t sec into flight is given by the function h(t). Find the maximum altitude attained by rocket. (round your answer to the nearest foot)

h(t) = -1/3t^3 +2t^2 + 12 t +24 (t>=0)

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Expert Answer

Step 1

The altitude (in feet) attained by a model rocket t sec into flight is given by the function

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1 h(t) 3 +2f2 12t + 24

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Step 2

Firstly, we find h'(t) and solve h'(t)=0 for t

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h'(t)-t4t+12 h'(t)0 -t24t12 0 -t26t 2t12 = 0 -(-6)(t+2)0 t 6

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Step 3

Now, we find ...

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h" (6)-2x6+4=-8

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Tagged in

Math

Calculus

Derivative